(1+xy)xdy+(1-xy)ydx=0

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Solution for (1+xy)xdy+(1-xy)ydx=0 equation:


Simplifying
(1 + xy) * xdy + (1 + -1xy) * ydx = 0

Reorder the terms for easier multiplication:
dxy(1 + xy) + (1 + -1xy) * ydx = 0
(1 * dxy + xy * dxy) + (1 + -1xy) * ydx = 0
(1dxy + dx2y2) + (1 + -1xy) * ydx = 0

Reorder the terms for easier multiplication:
1dxy + dx2y2 + dxy(1 + -1xy) = 0
1dxy + dx2y2 + (1 * dxy + -1xy * dxy) = 0
1dxy + dx2y2 + (1dxy + -1dx2y2) = 0

Reorder the terms:
1dxy + 1dxy + dx2y2 + -1dx2y2 = 0

Combine like terms: 1dxy + 1dxy = 2dxy
2dxy + dx2y2 + -1dx2y2 = 0

Combine like terms: dx2y2 + -1dx2y2 = 0
2dxy + 0 = 0
2dxy = 0

Solving
2dxy = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '2'.
dxy = 0

Simplifying
dxy = 0

The solution to this equation could not be determined.

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